This web page was constructed for the old version of MATH141 that I co-taught from 2003-2008. I don't make any promises as to whether anything on here is relevant for the new version of MATH141 that I am co-teaching in 2015.
This page contains material for the course: MATH 141
Mathematics 1C Part 1. The course material is made available
as a PDF file. To read these files you will need
Adobe Acrobat Reader on your machine.
You should be able to download this
software by following appropriate links from
the ITS page:
http://www.its.uow.edu.au.
This page mostly contains material for the subjects I teach: fundamentals, differentiation, polar co-ordinates, integration. Some resources for matrices are also discussed.
Mark's consolation hours are:
Monday | 15.30-17.30 |
Wednesday | 10.30-12.30 |
MATH141 is divided into six sections. The names of these sections and the content covered in each section are approximately as follows:
The Summertime Maths Web Page has some great resources for this subject. To find them look at the right-hand side of the page and click on `DVD Topics/Contents'. There are many additional features of interest on this site. You are encouraged to investigate!
The math centre page in the UK has some good resources.
This file contains nine questions from previous basic skill tests. I've chosen questions that over 50% of students answered incorrectly.
If your best mark is 16+ then you receive a bonus of 3% at the end of this course. Congratulations!
If your best mark is 15 then you receive a bonus of 1% at the end of this course. Congratulations.
If your best mark is less than 15 I am interested in how much you have improved. If you have improved by approximately 5 or better, well done! If you have improved by less than 5 you need to work harder. If your score has decreased you need to get off your backside and do some work.
PDF file containing your first BST mark, your second BST mark and your best BST mark. The results are sorted numerically according to student number. These file only contains the marks for those students who took the second BST at the scheduled time. If you had special consideration and took the BST afterwards your mark is not recorded here. However, you should know what your mark is because I marked your BST paper as soon as you finished the test!
Note. No-one scored `0'. A mark of `0' means that you failed to attend the test. A score of 0.0 means that you attended the test and didn't fill in any answers on the answer sheet. Seven students took the test paper and didn't put either their name or their student number on the test. These students scored 0.
Students always ask me what is on the mid-session test. I am always surprised by this question because I've assumed that students know that questions are what on a test paper...
The mid-session test paper usually contains 14 questions from the fundamentals/differentiation component of the course and 11 questions from the matrices part of the course. The questions from the fundamentals/differentiation part of the course split often approximately 50-50 between fundamentals and differentiation. If there are seven differentiation questions then these will usually comprise five questions on `elementary differentiation' and two questions from the preceding topics (`functions' and `limits').
In the above paragraph the words `usually', `often', `approximately' indicate that these are guidelines to what material might appear on the mid-session paper. There is no guarantee that the questions will be divided in this way.
A sample test paper. Attempt this test paper under exam conditions.
Do NOT download the answers until after you have finished the sample paper.
PDF file containing your fist BST mark, your second BST mark, your best BST mark and your mid-session test mark, sorted numerically according to student number. Note: You do not need to pass the mid-session test to pass the course. Obviously it is desirable to do well on the test...
2015 PDF file containing marks from the MST, sorted numerically according to student number. This file only contains the marks for those students who took the MST at the scheduled time. If you had special consideration and took the MST afterwards your mark is not recorded here.
If you attended the test but your mark does not appear please contact me ASAP. Due the the scanning process used to mark the papers there are a few marks that I can not enter because I do not know who the student is!
Each over-head will print out as one sheet of A4.
Each worksheet will print out on one side of A4 paper.
Lecture 2 | Indices | Solutions |
Surds | solutions | |
Lecture 3 | Logarithms | solutions |
Factorisation | solutions | |
Algebraic Fractions | solutions | |
Lecture 4 | Functions | solutions |
Quadratic Equations | solutions | |
Lecture 5 | Geometry | solutions |
Trigonometry | solutions |
Lecture notes are available in two forms. The single form has one overhead per side of A4. The double form has two overheads per side of A4. Thus you need to print fewer sides of A4 if you select the double option. However, the quality of the PDF file is lower for the double form.
The aim of this section is to give a hint as to why a certain topic is more interesting than you might think! It shows some of the applications of the material that we cover in lecture to real problems.
April is Mathematics Awareness Month (MAM). In 2006 the theme for MAM was Mathematics and Internet Security. If you are interested in this topic please visit http://mathaware.org and follow the internal links.
Here are some multiple-choice questions on various parts of the differentiation notes.
Limits | solutions |
elementary differentiation | solutions. |
implicit differentiation | solutions. |
parametric differentiation | solutions. |
If you run out of polar graph paper you can make your own at http://incompetech.com/graphpaper/. (Scroll down to the Speciality section).
Lecture notes are available in two forms. The single form has one overhead per side of A4. The double form has two overheads per side of A4. Thus you need to print fewer sides of A4 if you select the double option. However, the quality of the PDF file is lower for the double form.
1. | Polar coordinates | single | double |
2. | Polar curves | single | double |
The aim of this section is to give a hint as to why a certain topic is more interesting than you might think! It shows some of the applications of the material that we cover in lecture to real problems.
Outlines the application of non-Cartesian coordinate systems in Astronomy.
Lecture notes are available in two forms. The single form has one overhead per side of A4. The double form has two overheads per side of A4. Thus you need to print fewer sides of A4 if you select the double option. However, the quality of the PDF file is lower for the double form.
3.1 | The indefinite integral and the definite integral | single | double |
3.1.1 The indefinite integral | |||
3.2 The definite integral | |||
3.2.3 Properties of integrals | |||
3.2.4 Revision questions | |||
2. | Methods of Integration: 3.3.1-3.3.3 | single | double |
3.3.1 Integrals by inspection | |||
3.3.2 Simplifying Integrals | |||
3.3.3 Using Integral Tables | |||
3. | Methods of Integration: 3.3.5-3.3.7 | single | double |
3.3.5 Algebraic Substitution | |||
3.3.6 Integration of the form... | |||
3.3.7 Revision Questions |
Integration worksheet | solutions |
Integration Exam Questions: 2000-2002 | (1) |
(1) The answers are included with the questions. There is a page of questions and then a page of answers.
The course handbook contains exam papers from 2001-2003 with selected answers.
Exam | Solutions | |||
2000 * | Question 1 | Question 2 | Question 3 | Question 4 |
2001 ^ | Question 1 | Question 2 | Question 3 | Question 4 |
2002 ^ | Question 1 | Question 2 | Question 3 | Question 4 |
2003 ^ | Question 1 | Question 2 | Question 3 | Question 4 |
2004 * | Question 1 | Question 2 | Question 3 | Question 4 |
2005 * | Question 1^{}1 | Question 2 | Question 3 | Question 4 |
2006 * | Question 1 | Question 2 | Question 3 | Question 4 |
2007 * | Questions 1-4 ^{}2 | |||
* does not include tables of integrals | ||||
^ includes tables of integrals |
(The given answer is correct if in the question the value of a was a_{1j}).
A link to an on-line resource for matrix calculations. You will need to explore the pages a little.
Teaching notes for vectors (from 2006) are available on this web page. These notes may use a different notation to the ones that your lecturer is using and may contain material that is not begin taught this year. However, you may find them useful.
At Wollongong the revision classes are:
At Loftus the revision classes are:
Notes: